Resumen de On the solution of functional equations of Wilson's type on monoids.

Iz-iddine el Fassi, Abdellatif Chahbi, S. Kabbaj

• español

  Let S be a monoid, C be the set of complex numbers, and let σ,τ ∈ Antihom(S,S) satisfy τ ○ τ =σ ○ σ= id. The aim of this paper is to describe the solution ⨍,g: S → C of the functional equation       in terms of multiplicative and additive functions.

• English

  Let S be a monoid, C be the set of complex numbers, and let σ,τ ∈ Antihom(S,S) satisfy τ ○ τ =σ ○ σ= id. The aim of this paper is to describe the solution ⨍,g: S → C of the functional equation ⨍(xσ(y)) + ⨍(τ(y)x) = 2f(x)g(y), x, y ∈ S, in terms of multiplicative and additive functions.